After studying the milk yields of a randomly selected sample of 900 cows, researchers felt that the presence of white spots (WS;) on a cow's body led to a different level of milk production (MP). The researchers estimate the OLS regression: where WS, is a binary variable of the form: WS₁ = The 95% confidence interval for the coefficient ₁ is (.). (Round your answers to four decimal places.) MP=5.36+0.26 x WS₁, (2.23) (0.06) 1, if the th cow has white spots O, if the th cow doesn't have white spots

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After studying the milk yields of a randomly selected sample of 900 cows, researchers felt that the presence of white spots (WS;) on a cow's body led to a different level
of milk production (MP;). The researchers estimate the OLS regression:
where WS, is a binary variable of the form:
WS₁ =
MP = 5.36 +0.26 x WS₁,
(2.23) (0.06)
1, if the th cow has white spots
0, if the th cow doesn't have white spots
The 95% confidence interval for the coefficient ₁ is (₁).
(Round your answers to four decimal places.)
Based on this interval, we will
the hypothesis P₁ = 0 at the 5% significance level.
Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case?
O A. The coefficient is the sum of the conditional expectation of the presence of white spots on a cow with respect to the average milk production.
OB. The coefficient is the rate of change in the milk production due to a unit change in the number of cows with white spots.
OC. The coefficient of the indicator variable is the slope of the regression equation.
O D. The coefficient is the difference between the population means of the milk production of cows with and without white spots.
Transcribed Image Text:After studying the milk yields of a randomly selected sample of 900 cows, researchers felt that the presence of white spots (WS;) on a cow's body led to a different level of milk production (MP;). The researchers estimate the OLS regression: where WS, is a binary variable of the form: WS₁ = MP = 5.36 +0.26 x WS₁, (2.23) (0.06) 1, if the th cow has white spots 0, if the th cow doesn't have white spots The 95% confidence interval for the coefficient ₁ is (₁). (Round your answers to four decimal places.) Based on this interval, we will the hypothesis P₁ = 0 at the 5% significance level. Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case? O A. The coefficient is the sum of the conditional expectation of the presence of white spots on a cow with respect to the average milk production. OB. The coefficient is the rate of change in the milk production due to a unit change in the number of cows with white spots. OC. The coefficient of the indicator variable is the slope of the regression equation. O D. The coefficient is the difference between the population means of the milk production of cows with and without white spots.
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